relative difference sets
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2019 ◽  
Vol 270 ◽  
pp. 1-12
Author(s):  
Nurdagül Anbar ◽  
Wilfried Meidl ◽  
Alexander Pott


2018 ◽  
Vol 12 (4) ◽  
pp. 397-406
Author(s):  
Santiago Barrera Acevedo ◽  
Heiko Dietrich




Entropy ◽  
2017 ◽  
Vol 19 (10) ◽  
pp. 563 ◽  
Author(s):  
Young-Sik Kim ◽  
Hosung Park ◽  
Jong-Seon No


10.37236/5641 ◽  
2017 ◽  
Vol 24 (3) ◽  
Author(s):  
Peter J. Dukes ◽  
Alan C.H. Ling

We explore classical (relative) difference sets intersected with the cosets of a subgroup of small index. The intersection sizes are governed by quadratic Diophantine equations. Developing the intersections in the subgroup yields an interesting class of group divisible designs. From this and the Bose-Shrikhande-Parker construction, we obtain some new sets of mutually orthogonal latin squares. We also briefly consider optical orthogonal codes and difference triangle systems.







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